Facebook Connect is built into Dolphin via an included module under Administration => Modules => Add & Manage. You'll need to configure it once it's installed. Deano has a Google Connect module in the market: http://www.boonex.com/m/deanos-google-connect
Do you mean messages? Check under Administration => Settings => Membership Levels => [Level] => Actions. Click on an action that's enabled to bring up an editor window - you can set how many times a member can perform this action, and in how many hours the limit should reset (if desired), as well as some other availability options. For messages, the action is "send messages". The default is 10 messages every 24 hours.
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